Finding the Third Proportional to 10,066 and 21,749

Step by Step Solution

1. Step 1: Write the proportion equation
   10,066 : 21,749 = 21,749 : x
2. Step 2: Convert to fraction form
   10,066/21,749 = 21,749/x
3. Step 3: Cross multiply
   10,066x = 21,749 × 21,749
4. Step 4: Simplify right side
   10,066x = 473,019,001
5. Step 5: Solve for x
   x = 473,019,001/10,066
6. Step 6: Final answer
   x = 46,991.75